Question

Can you help me simplify this

3x-9 ÷ 3
---------- -----
24x-96 x-4

with explaination and steps please ​

Answer 1

`(x-3)/(24)`

Explanation:

`(3x-9)/(24x-96)` ÷
`(3)/(x-4)` ← factor numerator/denominator of first fraction

=
`(3(x-3))/(24(x-4))` ÷
`(3)/(x-4)`

to perform the division

leave first fraction, change ÷ to × , turn second fraction ' upside down'

=
`(3(x-3))/(24(x-4))` ×
`(x-4)/(3)` [ cancel (x - 4) and 3 on numerator/ denominator ]

=
`(x-3)/(24)` × 1

=
`(x-3)/(24)`